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SHAO · 2023年07月20日

老师,请问B哪里错了?

* 问题详情,请 查看题干

NO.PZ202208220100000201

问题如下:

Determine which one of the following reasons for the change in adjusted R2 from Model 2 to Model 3 is most likely to be correct.

选项:

A.Adjusted R2 decreases since adding MOM does not improve the overall explanatory power of Model 3. B.Adjusted R2 increases since adding SMB improves the overall explanatory power of Model 2. C.Adjusted R2 decreases since adding MOM improves the overall explanatory power of Model 3.

解释:

A is correct. Adjusted R2 in Model 3 decreases to 0.844 from 0.846 in Model 2.Model 3 includes all independent variables from Model 2, while adding MOM.Adding variables to a regression model always either increases R2 or causes it to stay the same. But adjusted R2 only increases if the new variable meets a threshold of significance, |t-statistic| > 1. MOM does not meet this threshold, indicatingit does not improve the overall explanatory power of Model 3.

老师,加入SMB自变量后,Adjusted R2从0.817增加到0.846,说明加入SMB的model解释力度更强了。请问B选项错在哪里呢?

1 个答案

星星_品职助教 · 2023年07月21日

同学你好,

提问中列举的Adjusted R-squared的变化是从Model 1到Model 2,SMB也是相对于Model 1而言Model 2增加的变量。

但本题问的是the change in adjusted R2 from Model 2 to Model 3。Adjusted R-squared是降低的,要考虑的也是Model 2 to model 3的变化,也就是MOM的情况。


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